English Medium कक्षा १० - CBSE Question Bank Solutions

Solve the following quadratic equations by factorization:

`(x-a)/(x-b)+(x-b)/(x-a)=a/b+b/a`

Solve the following quadratic equations by factorization:

`1/((x-1)(x-2))+1/((x-2)(x-3))+1/((x-3)(x-4))=1/6`

Solve the following quadratic equation by factorization:

`(x-5)(x-6)=25/(24)^2`

Solve the following quadratic equations by factorization:

`7x + 3/x=35 3/5`

Solve the following quadratic equations by factorization:

`a/(x-a)+b/(x-b)=(2c)/(x-c)`

Solve the following quadratic equations by factorization:

x² + 2ab = (2a + b)x

Solve the following quadratic equations by factorization:

(a + b)²x² - 4abx - (a - b)² = 0

Solve the following quadratic equations by factorization:

a(x² + 1) - x(a² + 1) = 0

Solve the following quadratic equations by factorization:

x² - x - a(a + 1) = 0

Solve the following quadratic equations by factorization:

`x^2+(a+1/a)x+1=0`

Solve the following quadratic equations by factorization:

abx² + (b² – ac)x – bc = 0

Solve the following quadratic equations by factorization:

a²b²x² + b²x - a²x - 1 = 0

Solve the following quadratic equations by factorization:

`(x-1)/(x-2)+(x-3)/(x-4)=3 1/3`, x ≠ 2, 4

Solve the following quadratic equations by factorization:

`3x^2-2sqrt6x+2=0`

Solve the following quadratic equations by factorization:

`1/(x-1)-1/(x+5)=6/7` , x ≠ 1, -5

Solve the following quadratic equations by factorization:

`1/x-1/(x-2)=3` , x ≠ 0, 2

Solve the following quadratic equations by factorization:

`1/(x+4)-1/(x-7)=11/30` , x ≠ 4, 7

Find the consecutive numbers whose squares have the sum 85.

Divide 29 into two parts so that the sum of the squares of the parts is 425.

Two squares have sides x cm and (x + 4) cm. The sum of this areas is 656 cm². Find the sides of the squares.